Geodesic
On intrinsic isometries to Euclidean space
Algebra i analiz, Tome 22 (2010) no. 5, pp. 140-153.

Voir la notice de l'article provenant de la source Math-Net.Ru

Compact metric spaces that admit intrinsic isometries to the Euclidean $d$-space are considered. Roughly, the main result states that the class of such spaces coincides with the class of inverse limits of Euclidean $d$-polyhedra.
Keywords: ontrinsic isometry, path isometry, Riemannian metric, polyhedron, pro-Euclidean space. 
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     title = {On intrinsic isometries to {Euclidean} space},
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A. Petrunin. On intrinsic isometries to Euclidean space. Algebra i analiz, Tome 22 (2010) no. 5, pp. 140-153. http://geodesic.mathdoc.fr/item/AA_2010_22_5_a5/

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